Fill in the missing numbers to complete the pattern: \( \square, 4.58,5.08,5.58, \square, 6.58 \) Submit

To find the missing numbers in the pattern \( \square, 4.58, 5.08, 5.58, \square, 6.58 \), we can analyze the sequence of numbers provided. 1. **Identify the differences between consecutive numbers:** - From \( 4.58 \) to \( 5.08 \): \[ 5.08 - 4.58 = 0.50 \] - From \( 5.08 \) to \( 5.58 \): \[ 5.58 - 5.08 = 0.50 \] - From \( 5.58 \) to \( 6.58 \): \[ 6.58 - 5.58 = 1.00 \] 2. **Determine the pattern:** - The first two differences are \( 0.50 \), and the last difference is \( 1.00 \). This suggests that the pattern may involve increments of \( 0.50 \) until a certain point, after which the increment changes. 3. **Fill in the missing numbers:** - The first missing number (before \( 4.58 \)) can be found by subtracting \( 0.50 \) from \( 4.58 \): \[ 4.58 - 0.50 = 4.08 \] - The second missing number (after \( 5.58 \)) can be found by adding \( 1.00 \) to \( 5.58 \): \[ 5.58 + 1.00 = 6.58 \] - However, since \( 6.58 \) is already given, we need to find the number before \( 6.58 \) which would be \( 6.08 \) (adding \( 0.50 \) to \( 5.58 \)): \[ 5.58 + 0.50 = 6.08 \] 4. **Final sequence:** - The completed sequence is: \[ 4.08, 4.58, 5.08, 5.58, 6.08, 6.58 \] Thus, the missing numbers are \( 4.08 \) and \( 6.08 \).